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Finding the Fourth Proportional to 23,827.64, 35,753.50 and 11,345.33

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Solution

The fourth proportional to 23,827.64, 35,753.50 and 11,345.33 is: 17,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.64 : 35,753.50 = 11,345.33 : x
  2. Step 2: Convert to fraction form
    23,827.64/35,753.50 = 11,345.33/x
  3. Step 3: Cross multiply
    23,827.64x = 35,753.50 × 11,345.33
  4. Step 4: Simplify right side
    23,827.64x = 405,635,359.72
  5. Step 5: Solve for x
    x = 405,635,359.72/23,827.64
  6. Step 6: Final answer
    x = 17,023.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.